Differential Harnack inequalities and the Ricci flow / Retro Müller.

Bibliographic Details
Uniform Title:EMS series of lectures in mathematics.
Main Author: Müller, Reto, 1964-
Language:English
Published: Zürich, Switzerland : European Mathematical Society, 2006.
Series:EMS series of lectures in mathematics.
Subjects:
Physical Description:vi, 92 pages ; 25 cm.
Format: Book

MARC

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100 1 |a Müller, Reto,  |d 1964-  |0 http://id.loc.gov/authorities/names/n84200101 
245 1 0 |a Differential Harnack inequalities and the Ricci flow /  |c Retro Müller. 
260 |a Zürich, Switzerland :  |b European Mathematical Society,  |c 2006. 
300 |a vi, 92 pages ;  |c 25 cm. 
336 |a text  |b txt  |2 rdacontent 
337 |a unmediated  |b n  |2 rdamedia 
338 |a volume  |b nc  |2 rdacarrier 
490 1 |a EMS series of lectures in mathematics 
504 |a Includes bibliographical references (pages [87]-88) and index. 
505 0 |a Preface -- Introduction -- 1. FOUNDATIONAL MATERIAL. Riemannian metric and curvature tensors -- Variation formulas -- Einstein-Hilbert functional and Ricci flow -- Evolution equations under Ricci flow -- Adjoint heat equation and gradient solitons -- 2. DIFFERENTIAL HARNACK INEQUALITIES. The Li-Yau Harnack inequality -- Hamilton's matrix Harnack inequality -- Harnack inequalities for the Ricci flow -- 3. ENTROPY FORMULAS. The static case, part I -- Entropy for steady Ricci solitons -- The static case, part II -- Entropy for shrinking solitons -- Entropy for Ricci expanders -- 4. REDUCED DISTANCE AND REDUCED VOLUME. The static case -- Perelman's L-length and L-geodesic -- Monotonicity of the reduced volume -- Bibliography -- List of symbols -- Index. 
650 0 |a Global differential geometry.  |0 http://id.loc.gov/authorities/subjects/sh85055286 
650 0 |a Ricci flow.  |0 http://id.loc.gov/authorities/subjects/sh2004000290 
650 0 |a Differential equations, Partial.  |0 http://id.loc.gov/authorities/subjects/sh85037912 
830 0 |a EMS series of lectures in mathematics.  |0 http://id.loc.gov/authorities/names/no2004044736 
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